Q98 / 160 · WBJEE 2010 · Mathematics

$\lim _{x \rightarrow 0} \frac{\sin |x|}{x}$ is equal to

  • A
    1
  • B
    0
  • C
    positive infinity
  • Correct answer
    D
    does not exist

Solution

Hints: $\operatorname{Lim}_{x \rightarrow 0} \frac{\sin |x|}{x}$ LHL $=-1 \quad$ RHL $=1$ Limit does not exist

Hence, the correct answer is option: 'D'.

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